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math.PR2026
Stochastic optimal control of Lévy tax processes with bailouts
Dalal Al Ghanim, Ronnie Loeffen, Alexander R. Watson
We consider controlling the paths of a spectrally negative Lévy process by two means: the subtraction of `taxes' when the process is at an all-time maximum, and the addition of `b…
math.PR2025
A quasi-stationary approach to the long-term asymptotics of the growth-fragmentation equation
Denis Villemonais, Alexander Watson
In a growth-fragmentation system, cells grow in size slowly and split apart at random. Typically, the number of cells in the system grows exponentially and the distribution of the…